Mathematics
Advanced
50 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Simplifying Simple Expressions

Learn to simplify algebraic expressions by collecting like terms. Discover which terms can be combined and which must stay apart, using a visual bags-and-cubes model.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedHere is one way to write the same letter three times: n + n + n. Is there a neater way to write three of the same letter added together?

    2 - Watch and Notice ~9 mins

    Think of each x as a bag with an unknown number of cubes inside, and each plain number as loose cubes on the table.

    Watch three expressions get tidied up. Each board is captioned with the algebra it is showing, so you can see the bags and the expression at the same time.

    Key point Only like terms can be combined. Bags join with bags because they hold the same unknown amount. Loose numbers join with loose numbers. A bag and a loose number are not like terms, so they can never be pushed together into one term.

    Before each answer appears, predict which terms are alike and which have to stay apart.

    3 - Try It Together ~10 mins

    Sort the scattered cards into two groups. Put the x-bags (the x-terms) in one place. Put the loose cubes (the plain numbers) in the other. The cards on screen are 5x, 2, 3x, x and 4. When they are sorted, say the simplified expression aloud.

    Sort the bags from the loose cubes

    4 - Collect the Like Terms in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, simplify each of these expressions by collecting like terms. Before you combine anything, underline the like terms in matching colours — all the x-terms one colour, all the plain numbers another.

    • 4x + 3 + 2x
    • x + x + 5 + 1
    • 5x + 2 + 3x
    • 6x + 5 + 2x + 1

    Write the simplified expression at the end of each line.

    5 - Class Challenge ~8 mins

    Sort every card into its group: x-terms with x-terms, plain numbers with plain numbers. Only like terms go together.

    When the cards are sorted, say the whole simplified expression out loud and write it in your copy. Both parts, so 7x + 3, not just 7x. The board checks the sorting; you supply the expression.

    The sets get harder: two x-terms and one number, then two x-terms and two numbers, then three x-terms and two numbers. Predict how many x-bags and how many loose cubes each set will end with before you press Check.

    Sort, then simplify

    Pupil practice
    Module 10 · Algebra: Patterns, Expressions and Equations Algebra
    Lesson 110 · Simplifying Simple Expressions
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